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نفّذ العملية المعطاة إذا كان: 222 === c(s)c(s)c(s) ;;; 333 +++ 4s4s4s +++ 111111 +++ 10s10s10s === b(s)b\left(s\right)b(s) ;;; 4s24s^24s2 +++ 20s220s^220s2 === a(s)a\left(s\right)a(s)
_________=== (a+b)(s)h(s)\frac{(a+b)(s)}{h\left(s\right)}h(s)(a+b)(s)
24s2+14s+1424s^2+14s+1424s2+14s+14
12s2+7s+712s^2+7s+712s2+7s+7
نفّذ العملية المعطاة إذا كان: c2c^2c2 === h(c)h\left(c\right)h(c) ;;; 50c50c50c === g(c)g\left(c\right)g(c) ;;; 20c20c20c === f(c)f\left(c\right)f(c) .
_____=== (c)(c)(c) hhh ... (c)\left(c\right)(c) (f+g)\left(f+g\right)(f+g)
(f+g)(c)⋅h(c))=70c2(f+g)(c)⋅h(c))=70c^2(f+g)(c)⋅h(c))=70c2
(f+g)(c)⋅h(c))=70c3(f+g)(c)⋅h(c))=70c^3(f+g)(c)⋅h(c))=70c3
نفّذ العملية المعطاة إذا كان:
7a37a^37a3 === u(a)u\left(a\right)u(a) ;;; 25a25a25a === t(a)t\left(a\right)t(a) ;;; 30a30a30a +++ 40a240a^240a2 === s(a)s\left(a\right)s(a)
_______=== (a)(a)(a) (u+s−t)(u+s-t)(u+s−t)
7a3+40a2+55a7a^3+40a^2+55a7a3+40a2+55a
7a3+40a2+5a7a^3+40a^2+5a7a3+40a2+5a
نفّذ العملية المعطاة إذا كان: aaa === s(a)s(a)s(a) ;;; a2a^2a2 === t(a)t(a)t(a) ;;; 5a25a^25a2 === h(a)h(a)h(a) .
_________=== (a)(a)(a) sss (a)\left(a\right)(a) (h+t)\left(h+t\right)(h+t)
(h+t)(a)⋅s(a)=5a3(h+t)(a)⋅s(a)=5a^3(h+t)(a)⋅s(a)=5a3
(h+t)(a)⋅s(a)=6a3(h+t)(a)⋅s(a)=6a^3(h+t)(a)⋅s(a)=6a3
نفّذ العملية المعطاة إذا كان: f2f^2f2 === c(f)c\left(f\right)c(f) ;;; 4f4f4f +++ 15f215f^215f2 === b(f)b(f)b(f) ;;; 2f22f^22f2 +++ 40f40f40f === a(f)a\left(f\right)a(f)
_______=== (f)(f)(f) ccc ... (f)\left(f\right)(f) (a+b)\left(a+b\right)(a+b)
44f3+17f444f^3+17f^444f3+17f4
17f3+44f417f^3+44f^417f3+44f4
نفّذ العملية المعطاة إذا كان: 40s40s40s −-− === h(s)h\left(s\right)h(s) ;;; 30s230s^230s2 === g(s)g\left(s\right)g(s) ;;; 20s20s20s === f(s)f\left(s\right)f(s) .
_____=== (s)\left(s\right)(s) (f+g−h)\left(f+g-h\right)(f+g−h)
(f+g−h)(s)=60s+30s2(f+g-h)(s)=60s+30s^2(f+g−h)(s)=60s+30s2
(f+g−h)(s)=10s+30s2(f+g-h)(s)=10s+30s^2(f+g−h)(s)=10s+30s2
نفّذ العملية المعطاة إذا كان: 222 === h(x)h\left(x\right)h(x) ;;; xxx +++ 4x24x^24x2 === g(x)g\left(x\right)g(x) ;;; 3x3x3x +++ 2x22x^22x2 === f(x)f(x)f(x) .
______=== (f+g)(x)h(x)\frac{(f+g)(x)}{h\left(x\right)}h(x)(f+g)(x)
6x2+4x6x^2+4x6x2+4x
3x2+2x3x^2+2x3x2+2x
نفّذ العملية المعطاة إذا كان: aaa === h(a)h\left(a\right)h(a) ;;; 3a3a3a === g(a)g\left(a\right)g(a) ;;; 4a4a4a === (a)\left(a\right)(a) .
_________________=== (a)\left(a\right)(a) (f+h−g)\left(f+h-g\right)(f+h−g)
(f+h−g)(a)=8a(f+h-g)(a)=8a(f+h−g)(a)=8a
(f+h−g)(a)=2a(f+h-g)(a)=2a(f+h−g)(a)=2a
نفّذ العملية المعطاة إذا كان: 555 +++ 4t4t4t === h(t)h\left(t\right)h(t) ;;; 333 +++ 7t7t7t === g(t)g\left(t\right)g(t) ;;; 333 +++ 5t25t^25t2 === f(t)f\left(t\right)f(t)
______=== (t)(t)(t) (f+g−h)(f+g-h)(f+g−h)
(f+g−h)(t)=5t2+2t+1(f+g-h)(t)=5t^2+2t+1(f+g−h)(t)=5t2+2t+1
(f+g−h)(t)=5t2+3t−2(f+g-h)(t)=5t^2+3t-2(f+g−h)(t)=5t2+3t−2
نفّذ العملية المعطاة إذا كان: 3y3y3y === h(y)h\left(y\right)h(y) ;;; 7y27y^27y2 +++ 10y10y10y === g(y)g\left(y\right)g(y) ;;; 2y22y^22y2 +++ 17y17y17y === f(y)f\left(y\right)f(y)
_______=== (f+g)(y)h(y)\frac{(f+g)(y)}{h(y)}h(y)(f+g)(y)
2y+62y+62y+6
3y+93y+93y+9
إنتهى الإختبار.